Reversible complex Henon maps

Jordan, C. R.; Jordan, D. A. and Jordan, J. H. (2002). Reversible complex Henon maps. Experimental Mathematics, 11(3) pp. 339–347.

URL: http://www.emis.ams.org/journals/EM/expmath/volume...

Abstract

We identify and investigate a class of complex H´enon maps H : C² → C² that are reversible, that is, each H can be factorized as RU where R² = U² = Id_c2 . Fixed points and periodic points of order two or three are classified in terms of symmetry, with respect to R or U, and as either elliptic or saddle points. We report on experimental investigation, using a Java applet, of the bounded orbits of H.

Viewing alternatives

Item Actions

Export

You can export this page using these formats

About

• Item ORO ID
• 31536
• Item Type
• Journal Item
• ISSN
• 1058-6458
• Extra Information
• MR number MR1959746
• Keywords
• H´enon map; reversibility; fixed points; periodic points; bounded orbits; ellipticity
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2002 A K Peters, Ltd.
• Related URLs
• • http://www.emis.ams.org/journals/EM/expm...
• Depositing User
• Camilla Jordan